A soft drink can has a circular base with diameter 7 cm and height 12 cm. What is the different in their capacities?
In relation to what?
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To find out the difference in capacities of two soft drink cans, we first need to calculate the capacities of each can.
The capacity of a cylinder, such as the shape of a soft drink can, is given by the formula V = πr^2h, where V represents the volume, r is the radius of the circular base, and h is the height of the cylinder.
Given that the diameter of the base is 7 cm, we can find the radius (r) by dividing it by 2. Thus, r = 7 cm / 2 = 3.5 cm.
Let's calculate the capacity (V1) of the first can:
V1 = πr^2h = π(3.5 cm)^2 * 12 cm
Now, we can calculate the capacity (V2) of the second can. However, we're only given the diameter of the base for the first can. If we are assuming the second can is the same shape as the first can, we can use the same value for the radius (r) and height (h).
Therefore, we have:
V2 = π(3.5 cm)^2 * 12 cm
Now, let's calculate the difference in their capacities:
Difference = V1 - V2
Substituting the values we found into the equation, we can calculate the difference in capacities of the two soft drink cans.